GATE CE 2015 Set 1 — Question 37
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Engineering Mathematics → Numerical Solution of Equations → Newton-Raphson Method
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Question
The quadratic equation is to be solved numerically, starting with the initial guess . The Newton-Raphson method is applied once to get a new estimate and then the Secant method is applied once using the initial guess and this new estimate. The estimated value of the root after the application of the Secant method is ________________.
Correct answer
2.32 to 2.34
Solution
Given the function and initial guess .
The formula for the Secant method is:
The estimated value is approximately .
1.Newton-Raphson Method:
2.Secant Method:
Using and :The formula for the Secant method is:
The estimated value is approximately .
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